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math.DS2010
Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems
Michèle Loday-Richaud, Pascal Remy
A precise description of the singularities of the Borel transform of solutions of a level-one linear differential system is deduced from a proof of the summable-resurgence of the s…
math.DS2009★ 23 cited
Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables
Werner Balser, Michèle Loday-Richaud
We investigate Gevrey order and 1-summability properties of the formal solution of a general heat equation in two variables. In particular, we give necessary and sufficient conditi…